ECAT Pre Engineering MCQ Test With Answer for Mathematics Full Book

• Rational A
• Irrational B
• Even C
• Odd D

The set {1,2,3,4......} is called

• Set of natural numbers A
• Set of whole numbers B
• Set of rational number C
• Set of irrational numbers D

The period of 3 sin x is

• 2π A
• 9π B
• 3π C
• 5π D

• A A
• -A B
• A^t C
• A^- D

• 
  A
• 
  B
• 
  C
• 
  D

For any two sets A and, A ⊆ B if

• x ∈ A ⇒ x ∈ B A
• x ∉ A ⇒ x ∉ B B
• x ∈ A ⇒ x ∉ B C
• None of these D

What is range of the function g (x) =|x-3|?

• [0 ,∞ ) A
• (0 ,∞) B
• (-∞ ,3] C
• [0,∞) D

A person standing on the bank of a river observes that the angle subtended by a tree of the opposite bank is 60°, when he retreats 40 m from the bank, he finds the angle to be 30°. The height of the tree and the breadth of the river are

• 
  A
• 
  B
• 
  C
• 
  D

According to Aristotle, in proposition there could be

• one possibilities A
• two possibilities B
• three possibilities C
• seven possibilities D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

a + x is ______

• A trinomial A
• A binomial B
• A monomial C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• A(α) - A(β) A
• A(α) + A(β) B
• A(α-β) C
• A(α+β) D

154^ο20' =

• 2550/34401π
  A
• 27721/22400 π B
• 2521/32400π C
• 4125/32400π D

The circular measure of the angle between the hands of a watch of 4 0'clock is

• π/2 A
• π/4 B
• 2π/3 C
• π/6 D

• 
  A
• 
  B
• 
  C
• 
  D

A circle which touches one side of a triangle externally and the other two sides produced is called ______

• In-circle A
• Circum cirle B
• Escribed circle C
• None of these D

A conditional is regarded as false only when the antecedent is true and consequent is

• True A
• False B
• Known C
• Unknown D

Which of the following integrals can be evaluated

• 
  A
• 
  B
• 
  C
• 
  D

The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60^οand 30^οrespectively. The the ratio of the heghts of the tower is

• 2 : 1 A
• 3 : 1 B
• 1 : 2 C
• 1 : 3 D

• ab=-1 A
• ab = 1 B
• ab = 2 C
• None D

If 0 = {1,3,5.......}, then n (0) =

• Infinite A
• Even numbers B
• odd integers C
• 99 D

Every whole number is

• A real number A
• An irrational number B
• A prime number C
• A negative integer D

• zero at x A
• differentiable at x B
• continuous at x C
• none of these D

There are 50 students in a class out of these 38 used desktop computer 16 out of these used laptop. It is noted that five students neither used laptop of computer. The students having both laptop and computer are A. Based on the information find out the greatest value of A.

• 16 A
• 8 B
• 4 C
• 0 D

If y = 1/x² then dy/dx equals:

• -2x A
• x^-3 B
• -2/x³ C
• -2x³ D

A point (x,y) which satisfy a linear inequality in two variables form its

• Solution A
• Domain B
• Range C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D